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Finding the Third Proportional to 210,043.50 and 333,957

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Solution

The third proportional to 210,043.50 and 333,957 is: 530,972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,043.50 : 333,957 = 333,957 : x
  2. Step 2: Convert to fraction form
    210,043.50/333,957 = 333,957/x
  3. Step 3: Cross multiply
    210,043.50x = 333,957 × 333,957
  4. Step 4: Simplify right side
    210,043.50x = 111,527,277,849
  5. Step 5: Solve for x
    x = 111,527,277,849/210,043.50
  6. Step 6: Final answer
    x = 530,972.29

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.